Results 21 to 30 of about 452,175 (269)
Hermite interpolation and inequalities involving weighted averages of n-convex functions [PDF]
Mathematical Inequalities & Applications, 2016 By using Hermite interpolation we obtain Popoviciu-type inequalities containing sums $\sum_{;i=1};^m p_i f(x_i)$, where f is an n-convex function. We also give integral analogues of the results, as well as bounds for integral remainders of identities associated with the obtained inequalities.
Pečarić, Josip, Praljak, Marjan
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Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions
Mathematics, 2022 In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n-times differentiable convex.
Artion Kashuri +3 more
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Projections Onto Convex Sets (POCS) Based Optimization by Lifting [PDF]
, 2013 Two new optimization techniques based on projections onto convex space (POCS) framework for solving convex and some non-convex optimization problems are presented.
Bozkurt, A. +7 more
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Weighted averages of n-convex functions via extension of Montgomery’s identity [PDF]
Arabian Journal of Mathematics, 2019 Abstract Using an extension of Montgomery’s identity and the Green’s function, we obtain new identities and related inequalities for weighted averages of n-convex functions, i.e. the sum $$\sum _{i=1}^m \rho _i h(\lambda _i)$$ ∑ i
Khan A.R., Pečarić J.E., Praljak M.
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New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
Journal of Inequalities and Applications, 2020 In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
Muhammad Uzair Awan +4 more
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Journal of Inequalities and Applications, 2021 In this article, we develop a novel framework to study a new class of convex functions known as n-polynomial P $\mathscr{P} $ -convex functions. The purpose of this article is to establish a new generalization of Ostrowski-type integral inequalities by ...
Samaira Naz +2 more
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Existence and Approximation of Densities of Chord Length- and Cross Section Area Distributions
Image Analysis and Stereology, 2023 In various stereological problems a n-dimensional convex body is intersected with an (n−1)-dimensional Isotropic Uniformly Random (IUR) hyperplane. In this paper the cumulative distribution function associated with the (n−1)-dimensional volume of such a ...
Thomas van der Jagt +2 more
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Popoviciu’s type inequalities for h-MN-convex functions [PDF]
E-Journal of Analysis and Applied Mathematics, 2021 n this work, Popoviciu type inequalities for h-MN-convex functions are proved. Some direct examples are pointed out.
Mohammad W. Alomari
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International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Yu-Ru Syau
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On n-polynomial p-convex functions and some related inequalities
Advances in Difference Equations, 2020 In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization.
Choonkil Park +4 more
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